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Finding the Third Proportional to 39,507 and 87,018

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Solution

The third proportional to 39,507 and 87,018 is: 191,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507 : 87,018 = 87,018 : x
  2. Step 2: Convert to fraction form
    39,507/87,018 = 87,018/x
  3. Step 3: Cross multiply
    39,507x = 87,018 × 87,018
  4. Step 4: Simplify right side
    39,507x = 7,572,132,324
  5. Step 5: Solve for x
    x = 7,572,132,324/39,507
  6. Step 6: Final answer
    x = 191,665.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.